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Finding the Fourth Proportional to 2,362.10, 3,540.38 and 974.57

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Solution

The fourth proportional to 2,362.10, 3,540.38 and 974.57 is: 1,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.10 : 3,540.38 = 974.57 : x
  2. Step 2: Convert to fraction form
    2,362.10/3,540.38 = 974.57/x
  3. Step 3: Cross multiply
    2,362.10x = 3,540.38 × 974.57
  4. Step 4: Simplify right side
    2,362.10x = 3,450,325.56
  5. Step 5: Solve for x
    x = 3,450,325.56/2,362.10
  6. Step 6: Final answer
    x = 1,460.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.